Introduction to Inverse Problems for Evolution Equations Stability and Uniqueness by Carleman Estimates /
Among several main formulations, the book treats inverse problems with single measurements by Carleman estimates and describes a method for proving the uniqueness and the stability for the first-order transport equations, parabolic equations, and hyperbolic equations. The book gives self-contained d...
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| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
| Vydáno: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Vydání: | 1st ed. 2025. |
| Edice: | Lecture Notes of the Unione Matematica Italiana,
29 |
| Témata: | |
| On-line přístup: | https://doi.org/10.1007/978-3-031-86267-0 |
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Obsah:
- - 1. How inverse problems appear and what should we study about inverse problems?
- 2. Application of the multiplier method to an inverse wave source problem
- 3. Inverse problems by Carleman estimates for first-order transport equations
- 4. Inverse problems by Carleman estimates for parabolic equations
- 5. Inverse problems by Carleman estimates for hyperbolic equations
- 6. Conditional stability and convergence rates of the Tikhonov regularization
- 7. Other estimates of Carleman type
- 8. Derivation of Carleman estimates for elliptic equations.